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This mock test of Civil Engineering (CE) : Mock Test 4 For GATE for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Civil Engineering (CE) : Mock Test 4 For GATE (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Choose the word or phrase which is nearest in meaning to the key word:

** Pilfer**

Solution:

QUESTION: 2

The following question comprises two words that have a certain relationship between them followed by four pairs of words. Select the pair that has same relationship as the original pair of words

Fox : Cunning

Solution:

QUESTION: 3

Replace the phrase printed in bold to make it grammatically correct ?

A twenty-first century economy **" cannot be held"** hostage by power cuts nor travel on nineteenth century roads.

Solution:

QUESTION: 4

Improve the sentence with suitable options by replacing the underlined word.

He "__lay" __on the grass enjoying the sunshine.

Solution:

QUESTION: 5

Fill in the blanks :

At times, we are all ______ to be mistaken.

Solution:

QUESTION: 6

There are two solutions of wine and water, the concentration of wine being 0.4 and 0.6 respectively. If five liters of the first solution be mixed with fifteen liters of the second, find the concentration of wine in the resultant solution.

Solution:

Resultant concentration of wine

QUESTION: 7

Rajiv bought some apples at the rate of 25 for Rs. 400 and an equal number at the rate of 30 for Rs. 270. He then sold all at the rate of 10 for Rs. 180. Find his profit/loss percentage

Solution:

Let Rajiv bought x apples of each kind.

Total cost price of Rajiv =

Total selling price of Rajiv =

SP > CP , Hence he makes profit;

Profit percentage =

QUESTION: 8

Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is alteast one graduate among them ?

Solution:

P (at least one graduate) = 1 – P (no graduate)

QUESTION: 9

2 men and 3 boys can do a piece of work in 10 days, while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?

Solution:

Let work done by 1 man in 1 day = x units

Let work done by 1 boy in 1 day = y units

2 men and 1 boy can finish work

No. of days taken by 2 men and 1 boy = = 12.5 days

QUESTION: 10

In an exam, 60% of the candidates passed in Maths and 70% candidates passed in English and 10% of the candidates failed in both the subjects, 300 candidates passed in both the subjects. Find the total number of candidates appeared in the exam, if they took test in only two subjects that is Math and English.

Solution:

Let total number of students appear be X.

X = 750

QUESTION: 11

A major requirement of GIS application is :

Solution:

QUESTION: 12

Where the aircraft is standing (parking), the facility for loading and unloading operation in front of terminal building is known as :

Solution:

QUESTION: 13

In a particular bank 60% of the customers applied for a loan are rejected. If 4 new loan applications are received, find the probability that exactly 3 of them are accepted.

Solution:

n = 4, p = 0.4, q = 0.6

Applying Binomial theorem:

p(X = 3) =

p(X = 3) =

= 0.1536

QUESTION: 14

The following zones formed in polluted river:

1.Zone of clear water

2.Zone of active decomposition

3.Zone of recovery

4.Zone of degradation

The correct sequence in which these zones occur progressively downstream in a polluted river is:

Solution:

QUESTION: 15

The static indeterminacy of given structure is :

Solution:

D_{s} = 0

QUESTION: 16

The structure is carrying a horizontal load P at E. Legs AB and CD are vertical. The stress resultants in AB segment are :

Solution:

QUESTION: 17

For f(x) = e^{x}(sin x − cos x) such that x ε , find the value of c by applying mean value theorem.

Solution:

f ´(x) = e^{x}(cos x sin x) e^{x}(sin x − cos x)

2e^{x} sin x = 0

2e^{c} sin c = 0

sin c = sin π

c = π

QUESTION: 18

If all the dimensions of a vertically subtended circular bar are doubled, then the maximum stress produced in it due to its own weight will :

Solution:

Max^{m}. Stress at point where full weight acts.

Stress =

Finally, stress = γ x 2L

Stress will be doubled.

QUESTION: 19

In beam ABCD, there is a roller support at B and C as shown in the figure. If 200 kN load is applied at the mid span of BC. The shear force at the support A will be

Solution:

SF at a = 100 kN

QUESTION: 20

For a given storm the average depth of rainfall over an area:

Solution:

QUESTION: 21

For a steel cube shown in the figure, the net volume change after loading is found to be zero. The magnitude of σ will be ? (Given )

Solution:

If _{v} = 0

σ _{x} σ _{y} σ_{z} = 0

25 – 80 σ = 0

σ= 55 MPa

QUESTION: 22

Flow separation is caused by :

Solution:

Positive pressure gradient is adverse pressure gradient which causes flow separation

QUESTION: 23

Determine the rate of flow in the figure given below :

Solution:

q = k i A

QUESTION: 24

A soil sampler has inner and outer radii of 28 mm and 34 mm respectively. The area ratio of the sampler is

Solution:

Area ratio (A_{r})

= 48%

QUESTION: 25

A D-hour unit hydrograph differs from a 2-D hour unit hydrograph for any catchment is that:

Solution:

QUESTION: 26

The flow in a channel is at critical depth. If at a section M a small hump of height Δz is built on a bed of the channel, the flow will be:

Solution:

QUESTION: 27

The determination of ultimate bearing capacity of an eccentrically loaded square footing depends upon the concept of useful:

Solution:

QUESTION: 28

The sensitivity of a level tube decreases if:

Solution:

Sensitivity of a level tube decreases if diameter of the tube is decreased.

QUESTION: 29

The nominal bearing strength of the bolt is given by 2.5 K_{b} dt fu, where K_{b} depends upon:

1) Edge distance

2) Bolt diameter

3) Diameter of bolt hole

4) Ultimate tensile stress of bolt

5) Ultimate tensile stress of plate Of the above

Solution:

K_{b} does not depend on bolt diameter.

QUESTION: 30

The flow characteristics before and after a hydraulic jump on horizontal frictionless channel are such that:

Solution:

QUESTION: 31

Consider the following statements regarding the plane truss :

(1) If 2J > m γ , the truss is always unstable.

(2) If 2J = m γ , the truss is statically determined and stable.

(3) If 2J < m γ , the truss is statically indeterminate and stable.

Of these statements :

Solution:

2J m γ does not ensure stability. For stability in this case the structure need to be inspected.

QUESTION: 32

For an activity i-j the early event times at i and j and late event times at i and j respectively are 5, 24, 9 and 29. The activity duration is 6. The independent float of activity i-j is :

Solution:

QUESTION: 33

A construction concrete mixer of capacity 0.6m^{3} is used and the miner discharges the entire batch of concrete into a single hopper. The time per cycle may be taken for charging, mixing and discharging mixes as 1.6 minutes and the lost time may be taken as 0.2 minutes. The number of batches per hour is equal to

Solution:

Number of batches per hour =

QUESTION: 34

Which one of the following correctly expresses the split tensile strength of a circular cylinder of length L and diameter D subjected to a maximum load of P ?

Solution:

QUESTION: 35

The base width of solid gravity dam is 25m. The material of the dam has a specific gravity of 2.56 and the dam is designed as an elementary profile ignoring uplift. Find the allowable height of the dam (in m).

Solution:

For elementary profile,

For no uplift, C = 0

QUESTION: 36

Consider a system of two identical particles. One of the particle is at rest and the other has an acceleration .The centre of mass has an acceleration.

Solution:

Let acceleration of centre of mass be a_{cm}

(2m) a_{cm} = m×a ma

a_{cm} = a/2

QUESTION: 37

Two small kids weighing 10kg and 15kg respectively are trying to balance a see-saw of total length 5m with the fulcrum at the centre. If one of the kids weighing 10kg is sitting at an end, at what distance from the other end should the other kid it?

Solution:

Supposing the other kid to be seated at a distance x from the free end

Balancing total moment about fulcrum;

10 × 9.81 × 2.5 = 15 × (2.5 - x) × 9.81

x = 0.83m

QUESTION: 38

A sample of ground water at a pH of 8 contains 122 mg/L of bicarbonates. What is the alkalinity of this water (in terms of CaCO_{3})?

Solution:

Concentration of [OH¯] is very less. Hence Alkalinity expressed as CaCO3 = = 100 mg/L

QUESTION: 39

Influence line diagram for axial force in member HI will be (assume compressive force as positive):

Solution:

ILD for member HI will be:

QUESTION: 40

For the beam shown in the figure below what is the influence line diagram for moment at A?

Solution:

QUESTION: 41

The staff reading taken from an instrument when bubble was at center on a staff kept at 350 m distance was 2.62m. The bubble was then moved by 8 divisions and staff

reading changed to 2.95m. If length of one division of bubble tube is 2mm. Calculate the sensitivity of a bubble tube.

Solution:

Length of one division = 2mm

n = divisions, D = 350m

Staff intercept, S = S_{2} – S_{1} = 2.95 - 2.62 = 0.33m

Sensitivity of the bubble tube

α = 24.3 seconds

QUESTION: 42

Two people weighing W each are sitting on a plank of length L floating on water at L/3 from either end. Neglecting the weight of the plank, the bending moment and shear at the center of plank is:

Solution:

QUESTION: 43

The reaction R in the given figure is:

Solution:

−25 × 10 R_{B} × 8 − 21.21 × 4 = 0

R_{B} = 41.855 kN

R_{1} = 21.21 25 − 41.855 = 4.355 kN

R_{2} = 21.21 kN

QUESTION: 44

The average annual rainfall in cm at four existing rain gauge stations in basin is 105, 79, 70 and 66. If the average depth of rainfall over the basin is to be estimated within 10% error, determine the number of gauges needed.

Solution:

QUESTION: 45

For a catchment area of 72 km^{2} the equilibrium discharge of an S curve obtained by 2 hour unit hydrograph summation is:

Solution:

QUESTION: 46

The function f(x) is given by:

Solution:

f(0^{-}) = f(0^{ }), Hence f(x) is continuous at x = 0

f `(0^{-}) = − sin(0) = 0

f `(0^{ }) = cos(0) = 0

Hence, f(x) is continuous but not differentiable at x = 0

QUESTION: 47

The value of dy, where c is the region bounded by and y = x^{2}.

Solution:

= = x^{2} ⇒ x^{4} = x

x^{3}(x^{3} − 1) = 0

x = 0, 1

y = 0, 1

Hence y = and y = x^{2} coincide at (0, 0) and (1, 1)

QUESTION: 48

Find the value of dx by Simpson’s 1/3^{rd } rule. Take (n = 2).

Solution:

QUESTION: 49

A sample of sand has a volume of 1000mL in its natural state. Its volume when compacted is 840 mL. When gently poured in a measuring cylinder its maximum volume is 1370 mL, the relative density of sand is ?

Solution:

= 69.81%

QUESTION: 50

A slope is to be constructed at an angle of 30^{0} with the horizontal. The required factor of safety with respect to both cohesion and angle of internal friction is 1.5 and the soil has following properties.C = 10 kN/m^{2}, φ = 22.5^{0} and ρ = 20 kN/m^{3} ,Taylor’s stability numbers for mobilized friction angles of 22.5^{0} and 15^{0} are 0.016 and 0.046 respectively. Safe height of slope is…………..m

Solution:

QUESTION: 51

Three point loads of magnitude 20 kN, 40 kN and 60 kN crosses the simply supported beam AB of span 18m from left to right as shown below

If absolute maximum bending moment occurs at ‘x’ m from left end A and magnitude of absolute bending moment is y kNm, then the value of y/x is :

Solution:

Let resultant of this load system acts at a distance from 40 kN load

Absolute maximum bending moment occurs at pt Q as shown :

Hence Mc = y = 258 kNm

= 25.29

QUESTION: 52

If a circular arch AB of radius R is fixed at end A and free at end B and concentrated moment is applied at end B. If flexural rigidity of arch is EI. The vertical deflection of point B will be

Solution:

Applying strain energy method:

BM at given pt = -M – Px

x = R Sin θ

M_{x} = -(M PR Sin θ)

QUESTION: 53

Portion BC is semi-circulate. If after several oscillation ball of mass 10 Kg comes to rest. The bending moment at A when ball is at rest will be ? Take g = 9.81 m/s^{2}.

Solution:

At rest, ball is at lower most potion of semi-circle.

BM at A = 10g ´ (10 2.5)

= 10 ´ 9.81 ´ 12.5

= 1226.25 N - m

QUESTION: 54

A flat steel bar with constant EI and length L is bent by couples at the ends so that the midpoint deflection is δ (δ<<L). Then the value of applied couple M is ?

Solution:

QUESTION: 55

A prismatic bar AB of solid circular cross-section (diameter-d) is loaded by a distributed torque. The intensity of the torque, that is, the torque per unit distance, is denoted by t(x) and varies linearly from maximum value t_{A} at end A to zero at end B. Also the length of bar is L and shear modulus of elasticity of material is G.

What is the maximum shear stress τ_{max} in the bar ?

Solution:

QUESTION: 56

A beam carrying a uniformly distributed load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at mid-span is.

Solution:

QUESTION: 57

The bending moment at the mid-span location x-x in the beam with overhangs shown below is equal to:

Solution:

R_{B} R_{D} = 30 kN

Taking moment about point D

R_{B }x 2 – 20 x 3 10 x 1 = 0

R_{B }= 25 kN

R_{D }= 5 kN

BM at x – x = 25 x 1 – 20 x 2 = -15 kNm

QUESTION: 58

A closed tank containing water is partly filled with water and the air space above it is under pressure. A 5cm hose connected to the tank discharges water to atmosphere on to the roof of a building 3m above the level of water in the tank. If friction losses are 1.5m of water, what air pressure must be maintained in the tank to deliver 15L/s to the roof ?

Solution:

Q = 0.015 m^{3}/sec = x (0.05)^{2} x V_{2}

V_{2 }= 7.639 m/s

By applying Bernoulli equation to point 1 and 2;

p_{1 }= 73.33 kPa

QUESTION: 59

In a pipe flow, the head lost due to friction is 6m. If the power transmitted through the pipe has to be maximum then the total head at the inlet will have to be maintained at :

Solution:

Head lost due to friction is 6m. Power transmitted is maximum when the friction head is 1/3^{rd} of the supply head.

Therefore, supply head is 18m

QUESTION: 60

A fluid jet is discharging from a 100mm nozzle and the vena contracta formed has a diameter 90mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle is :

Solution:

QUESTION: 61

Find the strain energy stored by the loaded truss shown in the figure. AE = constant.

Solution:

QUESTION: 62

A cantilever beam BD rests on a simply supported beam as shown in the figure. Both the beams are of same material and are 3m wide and 8m deep if they jointly carry a load P = 1400 kN, the moment developed at D is ?

Solution:

QUESTION: 63

The average flow of traffic on cross roads A and B, both 2 lane, during design period are 850 PCU per hour and 500 PCU per hour respectively. The all red time required for pedestrian crossing is 12 seconds. The saturation headway is 2.3 seconds. Max^{m} . Green time available on the 2 phase is …………. Seconds.

Solution:

QUESTION: 64

In Marshall method of mix design, the course aggregate, fine aggregated, filler and bitumen having respective specific gravities of 2.6, 2.7, 2.65 and 1.02 are mixed in the ratio of 0.55 : 0.346 : 0.48 : 0.056 respectively.

Specific gravity of the mix would be………..

Solution:

QUESTION: 65

Beam ACB hangs from 2 springs as shown in the figure. The springs have stiffness K_{1} and K_{2} and the beam has flexural rigidity EI. Deflection of point C is :

M_{0} = 10 kNm

K_{1} = 250 kN/m

K_{2} = 160 kN/m

L = 1.8 m

EI = 216 kNm^{2}

Solution:

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